Find the shaded area. Round your answer to the nearest tenth, if necessary.
Hint: this question is guided to help you get used to breaking down the figures first into simple shapes.

Area I =


Area II =


TOTAL AREA of composite figure =

Given that each term has a common difference, this is an arithmetic sequence as per the explicit formula that generates this sequence.

In this instance, the next word in the sequence is obtained by adding 2 to the previous term. To put it another way, a n = a 1 + d (n – 1) This is the arithmetic sequence’s formula.

Firstly, we have to find the initial phrase in a given series. Thereafter we have to find the shared difference between the following phrases in the sequence. For an explicit rule, replace the general form with the first term and common difference.

The distance between succeeding terms in an arithmetic series is always the same.

The difference between consecutive terms in the sequence 3, 5, 7, 9…, for instance, is an example of an arithmetic sequence.

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Answer:

In the photo

Step-by-step explanation:

Simply multiply the numbers out of the brackets to the numbers in them, adhering to algebraic rules.

Answer:

the one above me is right expet for 2 of them purple and orange

Step-by-step explanation:

it was right on edge

Luisa pagó $ 140.91 por 3,5 metros de tela para su vestido.

Para saber cuántos metros de tela compró Luisa se debe dividir el precio total de la tela que es $ 140.91 por el precio de cada metro que es $ 40.26

$ 140.91/ $ 40.2 = 3,5

De acuerdo a lo anterior, la cantidad de metros de tela que compró Luisa son 3,5 metros.

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The size of the quarterly deposits in Shelby's RRSP account was approximately $147.40.

Let's denote the size of the quarterly deposits as \(D\). The total number of deposits made over 9 years is \(9 \times 4 = 36\) since there are 4 quarters in a year. The interest rate per period is \(r = \frac{3.50}{100 \times 12} = 0.0029167\) (3.50% annual rate compounded monthly).

Using the formula for the future value of an ordinary annuity, we can calculate the accumulated value of the RRSP fund:

\[55,000 = D \times \left(\frac{{(1 + r)^{36} - 1}}{r}\right)\]

Simplifying the equation and solving for \(D\), we find:

\[D = \frac{55,000 \times r}{(1 + r)^{36} - 1}\]

Substituting the values into the formula, we get:

\[D = \frac{55,000 \times 0.0029167}{(1 + 0.0029167)^{36} - 1} \approx 147.40\]

Therefore, the size of the quarterly deposits, rounded to the nearest cent, is approximately $147.40.

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The probability that the radar set will correctly detect exactly three aircraft before it fails to detect one is approximately 0.0883 (rounded to four decimal places).

To solve this problem, we can use the concept of a geometric distribution. The geometric distribution models the number of trials required until the first success occurs in a sequence of independent Bernoulli trials.

In this case, the probability of success (correctly detecting an aircraft) for each radar set is 0.97 (1 - 0.03). We want to find the probability that the radar set detects exactly three aircraft before it fails to detect one.

The probability of detecting three aircraft before the first failure can be calculated as follows:

P(3 successes before the first failure) = P(success) * P(success) * P(success) * P(failure)

P(success) = 0.97 (probability of detecting an aircraft)

P(failure) = 0.03 (probability of failing to detect an aircraft)

P(3 successes before the first failure) = 0.97 * 0.97 * 0.97 * 0.03

P(3 successes before the first failure) ≈ 0.0883

Therefore, the probability that the radar set will correctly detect exactly three aircraft before it fails to detect one is approximately 0.0883 (rounded to four decimal places).

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Total volume of the shape is 124 cm³

A cuboid is a three-dimensional solid shape that has six rectangular faces or sides, where each face meets at a right angle with its adjacent faces.

The formula for the volume of a cuboid is:

Volume = Length x Width x Height

So, the Volume of first cuboid = 3 × 4 × 5 = 60 cm³

and the Volume of second cuboid = 2 × 4 × 8 = 64 cm³

Total volume of the shape = Volume of first cuboid + Volume of second cuboid

Total volume of the shape = 60 cm³ + 64 cm³

Total volume of the shape = 124 cm³

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Answer:

5 bracelets each

Step-by-step explanation:

6 bags * 10 bracelets in each = 60 bracelets

60 bracelets divided by 12 friends = 5 bracelets each

a. 80% of 90 is the same as of 90 - False

b. 45% of 60 is 27 - True

c. 20% of 90 is the same as as of 90- True

d. 25 is 35% of 80 -False

a. 80% of 90 is not the same as 90. To find 80% of 90, we multiply 90 by 0.8, which gives us 72. Therefore, the statement is false.

b. To find 45% of 60, we multiply 60 by 0.45, which gives us 27. Therefore, the statement is true.

c. 20% of 90 is the same as of 90. To find 20% of 90, we multiply 90 by 0.2, which gives us 18. Therefore, the statement is true.

Lastly, for question d. 25 is not 35% of 80. To find 35% of 80, we multiply 80 by 0.35, which gives us 28. Therefore, the statement is false.

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Answer:

i think you are correct.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Just simplify each possible answer by dividing by the lowest common factor, and find the odd one out.

A. 24/36 =  2/3 (LCF of 12)

B. 8/12 = 2/3 (LCF of 4)

C.  12/16 = 3/4 (LCF of 4)

D. 4/6 = 2/3 (LCF of 2)

Answer:

C

Step-by-step explanation:

if you convert all of the fractions into decimal form the only answer that is not .6667 is c

Answer:

We want a ratio, in whole numbers, and simplified.

$100 to $0.80 The easiest way to make this into whole numbers is to multiply both numbers by 10.

$1000 to $8 Now, we can simplify these numbers down by dividing each by 8.

$125 to $1

Answer:

:3))

Step-by-step explanation:

The y-intercept is where the line of the graph collides with the y-axis. This makes the y-intercept (0, 8). The equation of the line of best fit is y = -1/2x + 8.

Answer:

y-intercept: (0, 1)

x-intercept: (1, 0)

an x-intercept is when a line crosses the x-axis, and a y-intercept is when a line crosses the y axis.

Answer:

182

Step-by-step explanation:

If the suit itself is originally 260 and it lowered by 30% of itself, then we need to find 30% of 260, which would be 78. Since we are lowering the price, we subract 260 - 78 and get 182 as our final answer.

I hope this answer helped. Please let me know if I am incorrect. Thank you!

Answer:

7/36

Step-by-step explanation:

7/8 x 2/9

=> Multiply the numerators and the denominators

=> 7 x 2 / 8 x 9

=> 14 / 72

=> 7/ 36

The total number of markers decreases as the weeks progress.

The relationship between the total number of markers remaining, R, and the number of weeks, w, can be further explained as follows:

At the beginning, the teacher has 20 dry erase markers. After the first week, 3 markers are used, so the remaining markers would be 20 - 3 = 17.

In the second week, an additional 5 markers are used, resulting in 17 - 5 = 12 markers remaining.

Finally, in the third week, 2 more markers are used, leaving 12 - 2 = 10 markers remaining.

Therefore, as the number of weeks increases, the total number of markers remaining decreases. The relationship can be represented as R = 20 - (3w + 5w + 2w), where R is the total number of markers remaining and w is the number of weeks.

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Answer:

5.20 I think bababsbbsbabbabav

Answer:

domain: {-8, 12, -9, -11}

range: {5, 29, -29}

Step-by-step explanation:

hope this helps :)

Answer:

108 yards for 27 students

Step-by-step explanation:

12/3

Step 1: to figure out how many yards it takes to make one costume you have to divide 12 and 3.

12/3= 4

It takes 4 yards to make one costume.

Step 2: to figure out the amount of yards used for 27 students you take 4 yards times 27 students.

4x27= 108

Answer:

1,120

Step-by-step explanation:

If you divide 280 and 5 you get 56. Then you multiply 56 and 20 and you get 1,120

Answer:

For part A, it was simplified by dividing by two.

For part B if the largest angle is 5 and it was changed to 30 that means that it was multiplied by 6. If so then that means u have to multiply everything

3=18

4=24

5=30

Finally u just add them up and get 72

Answer:

Its E

Step-by-step explanation:

Just add the set of number stogether and pick the highest number.

Answer:

I can't answer that if there is no picture, I'm sorry

Step-by-step explanation:

Hey there!

Given;

\(1st \: expn = 26 {m}^{4} {n}^{2} \)

= 2*13 m⁴ n²

2nd expn = m² n

Therefore, greatest common factor is; m²n.

Hope it helps!

The ordered pair of this vertex in the new hexagon after the translation is (-5, -3).

To find the new coordinates of a vertex after a translation, you simply add or subtract the given translation values from the original coordinates. In this case, you need to translate the vertex located at (5, -9) 10 units to the left and 6 units up.

Translation:

Applying the translation to the vertex (5, -9):

New x-coordinate = 5 - 10 = -5

New y-coordinate = -9 + 6 = -3

Therefore, the ordered pair of this vertex in the new hexagon after the translation is (-5, -3).

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Answer:

The item that attaches to the bowstring to improve accuracy by giving a consistent anchor point each time the bowstring is drawn is called a "release aid" or "bow release".

if the second derivative is negative, then the first derivative is decreasing, Graphically, we see this as the curve. of the graph being concave down, that is, shaped like a parabola open downward.

The second derivative tells whether the curve is concave up or concave down at that point. If the second derivative is positive at a point, the graph is bending upwards at that point. Similarly if the second derivative is negative, the graph is concave down.

When second derivative is positive concavity?

If the second derivative is positive at a point, the graph is concave up at that point. If the second derivative is positive at a critical point, then the critical point is a local minimum. If the second derivative is negative at a point, the graph is concave down.

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